FCTC Math Comprehensive Resource To Help You Ace 2026-
2027 Exams Includes Frequently Tested Questions With
ELABORATED 100% Correct COMPLETE SOLUTIONS
Guaranteed Pass First Attempt!! Current Update!!
1. Engine 17 is 7ft in length, 5ft wide,and 3ft deep. How much water can be
held in Engine 17's water tank? (L x W x H = Volume) - Correct Answer:
105 ft sq
2. A tank with a 12ft diameter holds 864 gallons per foot of depth. How many
gallons with a tank of 12ft diameter hold if it's 5ft deep? - Correct
Answer: 4,320 gallons
3. Engine 33 is traveling 351 miles to assist in a mutual aid. They have to drive
216 miles in 4 hours, what is their average speed? - Correct Answer: 54
miles
4. There are 6 sections of 100ft wildland hose, and 9 sections of 80ft structural
hose. 5 sections of structural hose fail. What is the total amount of
structural hose that failed? - Correct Answer: 400ft failed
5. Engine carries 1,100ft of 2 1/2 inch, 900ft of 4 inch, and 1,000ft of 4 1/2
inch. If the 4 inch was removed, what percentage was removed from the
total? - Correct Answer: 30%
6. How many acres were burned? - Correct Answer: 6.88 acres
,7. For a fire on the 4th floor, you need to have 100psi at the nozzle, for each
floor above the first floor you lose 5 psi, for every 100ft of hose you lose 15
psi. There are 400ft of hose used to get to the fire. What is the total
pressure needed at the engine? - Correct Answer: 175 psi
8. How many cubic feet of water can a Captain expect the tank to hold? -
Correct Answer: 1,385
9. An engine pumps 1,450 gallons per minute, how many gallons will be
pumped in 5.5 minutes? (1,450 gals per min x 5.5 minutes = X) - Correct
Answer: 7,975 gallons
10.If an acre is equal to 43,560 square ft and a fire burned 250ft wide and
1,200ft long, how many acres were burned? (L x W =Area; 250 x 1,200 =
300,000; 300,000/43,560 = 6.88 acres) - Correct Answer: 6.88 acres
11.The tank is 14ft in diameter and 9ft tall. How many cubic feet of water can
the Captain expect the tank to hold? (Volume = πr2 x h; V = 3.14(7 squared)
x 9) - Correct Answer: 1,384.74 Cubic ft
12.1/4th of her back burned, 1/4th of her forehead burned, 1/3rd of her head
burned, 1/2 oh her arm burned. Determine what percentage total is
burned.
entire back = 20%
entire front = 20 %
entire head = 15%
, entire arm = 15%
(1/4 forehead = 5%; 1/4 back = 5%; 1/3 head =5%; 1/2 arm = 7.5%) -
Correct Answer: 22.5% burned
13.County responded to 18,462 calls. 44% of the calls were vehicle accidents.
What is the total number of vehicle accidents? (18,462 x .44 = X)` -
Correct Answer: 8,123.28 vehicle accidents
14.You and your 3 firefighters work 1 week and 4 days. How many hours has
your crew been there for? (1 day = 24hrs; 4 days = 96hrs; 24hrs x 11 days =
X) - Correct Answer: 264 hours total
15.What is the minimum length ladder needed to reach the roof of a 3 story
house? Building story average is 12ft floor to floor, and the distance from
the window sill is.... (floor to floor = 12ft; 3 stories x 12ft = 36ft; place
ladders 3-5 rungs above the window sill or roof) - Correct Answer: 40ft
minimum
16.Total chains that the crew cuts? - Correct Answer: 6 chains each
17.Average money for dinner? - Correct Answer: $14.29
18.How many 2 pints will fill a 5 gallon drum? - Correct Answer: 20 pints
19.Fire increase from 2009 to 2014 is how much percent? - Correct
Answer: 145%
2027 Exams Includes Frequently Tested Questions With
ELABORATED 100% Correct COMPLETE SOLUTIONS
Guaranteed Pass First Attempt!! Current Update!!
1. Engine 17 is 7ft in length, 5ft wide,and 3ft deep. How much water can be
held in Engine 17's water tank? (L x W x H = Volume) - Correct Answer:
105 ft sq
2. A tank with a 12ft diameter holds 864 gallons per foot of depth. How many
gallons with a tank of 12ft diameter hold if it's 5ft deep? - Correct
Answer: 4,320 gallons
3. Engine 33 is traveling 351 miles to assist in a mutual aid. They have to drive
216 miles in 4 hours, what is their average speed? - Correct Answer: 54
miles
4. There are 6 sections of 100ft wildland hose, and 9 sections of 80ft structural
hose. 5 sections of structural hose fail. What is the total amount of
structural hose that failed? - Correct Answer: 400ft failed
5. Engine carries 1,100ft of 2 1/2 inch, 900ft of 4 inch, and 1,000ft of 4 1/2
inch. If the 4 inch was removed, what percentage was removed from the
total? - Correct Answer: 30%
6. How many acres were burned? - Correct Answer: 6.88 acres
,7. For a fire on the 4th floor, you need to have 100psi at the nozzle, for each
floor above the first floor you lose 5 psi, for every 100ft of hose you lose 15
psi. There are 400ft of hose used to get to the fire. What is the total
pressure needed at the engine? - Correct Answer: 175 psi
8. How many cubic feet of water can a Captain expect the tank to hold? -
Correct Answer: 1,385
9. An engine pumps 1,450 gallons per minute, how many gallons will be
pumped in 5.5 minutes? (1,450 gals per min x 5.5 minutes = X) - Correct
Answer: 7,975 gallons
10.If an acre is equal to 43,560 square ft and a fire burned 250ft wide and
1,200ft long, how many acres were burned? (L x W =Area; 250 x 1,200 =
300,000; 300,000/43,560 = 6.88 acres) - Correct Answer: 6.88 acres
11.The tank is 14ft in diameter and 9ft tall. How many cubic feet of water can
the Captain expect the tank to hold? (Volume = πr2 x h; V = 3.14(7 squared)
x 9) - Correct Answer: 1,384.74 Cubic ft
12.1/4th of her back burned, 1/4th of her forehead burned, 1/3rd of her head
burned, 1/2 oh her arm burned. Determine what percentage total is
burned.
entire back = 20%
entire front = 20 %
entire head = 15%
, entire arm = 15%
(1/4 forehead = 5%; 1/4 back = 5%; 1/3 head =5%; 1/2 arm = 7.5%) -
Correct Answer: 22.5% burned
13.County responded to 18,462 calls. 44% of the calls were vehicle accidents.
What is the total number of vehicle accidents? (18,462 x .44 = X)` -
Correct Answer: 8,123.28 vehicle accidents
14.You and your 3 firefighters work 1 week and 4 days. How many hours has
your crew been there for? (1 day = 24hrs; 4 days = 96hrs; 24hrs x 11 days =
X) - Correct Answer: 264 hours total
15.What is the minimum length ladder needed to reach the roof of a 3 story
house? Building story average is 12ft floor to floor, and the distance from
the window sill is.... (floor to floor = 12ft; 3 stories x 12ft = 36ft; place
ladders 3-5 rungs above the window sill or roof) - Correct Answer: 40ft
minimum
16.Total chains that the crew cuts? - Correct Answer: 6 chains each
17.Average money for dinner? - Correct Answer: $14.29
18.How many 2 pints will fill a 5 gallon drum? - Correct Answer: 20 pints
19.Fire increase from 2009 to 2014 is how much percent? - Correct
Answer: 145%
